Worksheet: Exterior Angles of a Triangle

In this worksheet, we will practice finding the measure of the exterior angle of a triangle and comparing between an exterior angle and its corresponding remote interior angles.

Q1:

What is the sum of the measures of the exterior angles of a triangle?

Q2:

Is π‘šβˆ π΄π·π‘Œ<, =, or >π‘šβˆ π΄πΆπ·?

  • A =
  • B <
  • C >

Q3:

The figure shows some angles identified on triangle 𝐴𝐡𝐢.

Identify which angle is an exterior angle.

  • A 𝑦
  • B π‘₯
  • C 𝑧

Identify which angle is an interior angle.

  • A 𝑧
  • B π‘₯
  • C 𝑦

Q4:

Is the measure of two right angles less than, equal to or greater than the sum of the interior angles of a triangle?

  • Aless than
  • Bgreater than
  • Cequal to

Q5:

The figure shows the exterior angles of a given triangle. Find the sum of the exterior angles.

Q6:

What is the measure of an exterior angle of an equilateral triangle?

Q7:

Find π‘šβˆ πΆπ΄πΈ.

Q8:

Determine whether the following sentence is true or false: It is possible to draw a triangle on a plane with two obtuse angles.

  • Atrue
  • Bfalse

Q9:

In a triangle π‘‹π‘Œπ‘, if π‘‹π‘Œ=𝑋𝑍, what type of angle is the exterior angle at vertex 𝑍?

  • Aright
  • Breflex
  • Cacute
  • Dobtuse

Q10:

Which of the following inequalities is correct?

  • A π‘š ∠ 𝑋 π‘Œ 𝑍 > π‘š ∠ 𝑋 π‘Œ 𝑆 > π‘š ∠ 𝑋 𝑍 π‘Œ
  • B π‘š ∠ 𝑋 > π‘š ∠ 𝑋 𝑍 π‘Œ > π‘š ∠ 𝑋 π‘Œ 𝑍
  • C π‘š ∠ 𝑋 π‘Œ 𝑆 > π‘š ∠ 𝑋 𝑍 π‘Œ > π‘š ∠ 𝑋 π‘Œ 𝑍
  • D π‘š ∠ 𝑋 𝑍 𝑇 > π‘š ∠ 𝑋 > π‘š ∠ 𝑋 𝑍 π‘Œ
  • E π‘š ∠ 𝑋 𝑍 π‘Œ > π‘š ∠ 𝑋 π‘Œ 𝑍 > π‘š ∠ 𝑋

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